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http://hdl.handle.net/2289/6800| Title: | Plane shearing waves of arbitrary form: Exact solutions of the Navier-Stokes equations. |
| Authors: | Singh, Nishant K. Sridhar, S. |
| Issue Date: | Sep-2017 |
| Publisher: | Springer Verlag |
| Citation: | European Physical Journal Plus, 2017, Vol. 132, p 403 |
| Abstract: | We present exact solutions of the incompressible Navier-Stokes equations in a background linear shear flow. The method of construction is based on Kelvin’s investigations into linearized disturbances in an unbounded Couette flow. We obtain explicit formulae for all three components of a Kelvin mode in terms of elementary functions. We then prove that Kelvin modes with parallel (though time-dependent) wave vectors can be superposed to construct the most general plane transverse shearing wave. An explicit solution is given, with any specified initial orientation, profile and polarization structure, with either unbounded or shear-periodic boundary conditions. |
| Description: | Open Access |
| URI: | http://hdl.handle.net/2289/6800 |
| ISSN: | 2190-5444 (Online) |
| Alternative Location: | http://adsabs.harvard.edu/abs/2017EPJP..132..403S http://arxiv.org/abs/1101.5507 http://dx.doi.org/10.1140/epjp/i2017-11659-5 |
| Copyright: | 2017 The authors published with open access at springerlink |
| Appears in Collections: | Research Papers (A&A) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017_EurPhyJ Plus_132_403.pdf | Open Access | 393.96 kB | Adobe PDF | View/Open |
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